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Finding the Fourth Proportional to 9,547.76, 14,319.78 and 4,802.65

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Solution

The fourth proportional to 9,547.76, 14,319.78 and 4,802.65 is: 7,203.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,547.76 : 14,319.78 = 4,802.65 : x
  2. Step 2: Convert to fraction form
    9,547.76/14,319.78 = 4,802.65/x
  3. Step 3: Cross multiply
    9,547.76x = 14,319.78 × 4,802.65
  4. Step 4: Simplify right side
    9,547.76x = 68,772,891.42
  5. Step 5: Solve for x
    x = 68,772,891.42/9,547.76
  6. Step 6: Final answer
    x = 7,203.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.